Y. Alizadeh

activity

20202024

k

-stepwise irregular graphs

1 citations · 1 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.CO2024★ 1 cited

Extremal results on $k$ -stepwise irregular graphs

Yaser Alizadeh, Sandi Klavžar, Javaher Langari

For a positive integer $k \geq 1$ , a graph $G$ is $k$ -stepwise irregular ( $k$ -SI graph) if the degrees of every pair of adjacent vertices differ by exactly $k$ . Such graphs are neces…

math.CO2023

Generalized stepwise transmission irregular graphs

Yaser Alizadeh, Sandi Klavžar, Zohre Molaee

The transmission $Tr_{G} (u)$ of a vertex $u$ of a connected graph $G$ is the sum of distances from $u$ to all other vertices. $G$ is a stepwise transmission irregular (STI) gra…

math.CO2022

Extremal results on stepwise transmission irregular graphs

Yaser Alizadeh, Sandi Klavžar

The transmission $Tr_{G} (v)$ of a vertex $v$ of a connected graph $G$ is the sum of distances between $v$ and all other vertices in $G$ . $G$ is a stepwise transmission irregula…

math.CO2021

On the Relation Between Wiener Index and Eccentricity of a Graph

Hamid Darabi, Yaser Alizadeh, Sandi Klavžar +1

The relation between the Wiener index $W (G)$ and the eccentricity $ε (G)$ of a graph $G$ is studied. Lower and upper bounds on $W (G)$ in terms of $ε (G)$ are prov…

math.CO2020

On the difference between the eccentric connectivity index and eccentric distance sum of graphs